Let X be a continuous random variable with probability density function 2x f(x; 0) = () e-²/0 for x > 0 (and zero otherwise), where 0 > 0 is an unknown parameter, and let X1, X2, ..., Xn be a random sample the distribution of X.

and variance of X if the probability mass function is f(x) = ; ;)" , Find the moment generating function, mean x = 1, 2, 3, 4, ...

a continuous random variable with probability density function given v f(x): de-/100 0. What is the probability that • (a) a computer will function between 50 and 150 hours before breaking down? (b) it will function for fewer than 100 hours?